MHD modeling of ADYSs have shown that strong toroidal magnetic field is generated in the innermost region of the ADYS, where thermal ionization operates and magnetic field is frozen in gas [1]}. Runaway generation of the magnetic field in this region can be balanced by magnetic field buoyancy leading to the formation of magnetic flux tubes (MFTs), that float from the disk and carry away excess of its magnetic flux [2]}. MFTs form in a process of magnetic buoyancy instability [3]} in the stratified disk with strong planar magnetic field. Formation of MFT has been found both in MHD simulations of solar interior [4]} and simulations of the accretion disks [5]}.
